Test Variables

Variable Value Unit Uncertainty Symbol
Resistance at the beginning of the test15.39Ω0.001R1
Resistance at the end of the testMonte Carlo meanΩMonte Carlo deviationR2
Ambient temperature at the beginning of the test24°C0.1Tamb,1
Ambient temperature at the end of the test24°C0.1Tamb,2
Reciprocal of the coefficient of temperature234.5°C-k
Test temperature difference Calculated °C Calculated ΔT
Winding temperature at the end of the test Calculated °C Calculated T2

Other variables:

  • Uncertainty of initial time μt0 (s): 1
  • Uncertainty of acquisition time μdt (s): 1
  • Uncertainty of resistance measurement μdR (Ω): 0.001
  • Number of Monte Carlo simulations: 200

    • Original equation



    Individual uncertainty





    For T2, the only difference is the partial derivative relative to Tamb,1:


    Model comparison

    Mean and Std values

    Model Type Degree SSE [Ω²] Resistance [Ω] Resistance estimation uncertainty [Ω] Delta temperature [°C] Final temperature [°C]
    poly 1 14856 ± 249.22 19.426 ± 0.02591 0.015242 ± 0.00053565 6.2943 ± 0.16604 30.294 ± 0.25063
    poly 2 160.41 ± 26.689 19.522 ± 0.036921 0.0029734 ± 0.00038785 6.7115 ± 0.17231 30.712 ± 0.25507
    poly 3 54.11 ± 13.959 19.536 ± 0.039906 0.0031191 ± 0.00067042 7.0036 ± 0.17511 31.004 ± 0.257
    poly 4 42.067 ± 11.784 19.544 ± 0.042434 0.0050501 ± 0.0014587 7.2872 ± 0.17797 31.287 ± 0.25898
    exp 0 60.325 ± 15.439 19.533 ± 0.039261 0.050242 ± 0.0023123 7.5378 ± 0.17668 31.538 ± 0.25807